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Finding the Fourth Proportional to 688.23, 1,032.36 and 249.57

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Solution

The fourth proportional to 688.23, 1,032.36 and 249.57 is: 374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.23 : 1,032.36 = 249.57 : x
  2. Step 2: Convert to fraction form
    688.23/1,032.36 = 249.57/x
  3. Step 3: Cross multiply
    688.23x = 1,032.36 × 249.57
  4. Step 4: Simplify right side
    688.23x = 257,646.09
  5. Step 5: Solve for x
    x = 257,646.09/688.23
  6. Step 6: Final answer
    x = 374.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.